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Finding the Fourth Proportional to 6,731.37, 10,090.91 and 5,698.01

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Solution

The fourth proportional to 6,731.37, 10,090.91 and 5,698.01 is: 8,541.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.37 : 10,090.91 = 5,698.01 : x
  2. Step 2: Convert to fraction form
    6,731.37/10,090.91 = 5,698.01/x
  3. Step 3: Cross multiply
    6,731.37x = 10,090.91 × 5,698.01
  4. Step 4: Simplify right side
    6,731.37x = 57,498,145.56
  5. Step 5: Solve for x
    x = 57,498,145.56/6,731.37
  6. Step 6: Final answer
    x = 8,541.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.